Cumberbatch's spokeswoman, Karon Maskill, confirmed on Sunday the couple had wed over the weekend, surrounded by close family and friends.
The 38-year-old Cumberbatch rose to prominence with his modern-day portrayal of the cerebral sleuth in Sherlock. He has also been shortlisted for an Oscar for his role as code-breaking genius Alan Turing in The Imitation Game.
Turing helped win World War II with his work on cracking Nazi codes, but he was later prosecuted for homosexuality and committed suicide.
Hunter, 36, and Cumberbatch appeared together in the 2009 thriller Burlesque Fairytales. The couple, who announced their engagement with an eight-line item in the Times of London in November, said last month they are expecting their first child.
Britain's Daily Telegraph reported that Hunter arrived at the 12th Century St. Peter & St. Paul church at about 3:20 p.m. on Saturday. About 40 minutes later, three loud cheers erupted.
The Daily Mail featured photographs of Andrew Scott, who plays Moriarity in Sherlock, among the guests.
"It was a magical day," Maskill said.
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